Double exponential function

The term "double exponential function" can refer to functions that involve exponentiation of an exponential function. Specifically, a double exponential function is typically of the form: \[ f(x) = a^{(b^x)} \] where \( a \) and \( b \) are constants, and \( a, b > 0 \). This function grows much faster than a regular exponential function due to the "double" exponentiation.